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1

Homogenization of some variational problems connected to the theory of lubrication

Dag Lukkassen, Annette Meidell, Peter Wall

Journal:

International Journal of Engineering Science

Year:

2009

Language:

english

File:

PDF, 253 KB

english, 2009

2

Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

Lukkassen, Dag, Nguetseng, Gabriel, Nnang, Hubert, Wall, Peter

Journal:

Journal of Function Spaces and Applications

Year:

2009

Language:

english

File:

PDF, 2.01 MB

english, 2009

3

Two-scale convergence with respect to measures and homogenization of monotone operators

Lukkassen, Dag, Wall, Peter

Journal:

Journal of Function Spaces and Applications

Year:

2005

Language:

english

File:

PDF, 2.00 MB

english, 2005

4

Means of Power Type and Their Inequalities

Journal:

Mathematische Nachrichten

Year:

1999

Language:

english

File:

PDF, 636 KB

english, 1999

5

A New Reiterated Structure with Optimal Macroscopic Behavior

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 1.12 MB

english, 1999

6

On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions

Englis, Miroslav, Lukkassen, Dag, Peetre, Jaak, Persson, Lars-Erik

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2004

Language:

english

File:

PDF, 324 KB

english, 2004

7

Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces

Lukkassen, Dag, Persson, Lars-Erik, Samko, Stefan, Wall, Peter

Journal:

Journal of Function Spaces and Applications

Year:

2013

Language:

english

File:

PDF, 230 KB

english, 2013

8

AIP Conference Proceedings [AIP Publishing LLC 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 - Narvik, Norway (15–18 July 2014)] - Optimal stiffness design of sandwich plates with variable core densities

Lukkassen, Dag, Meidell, Annette, Myrvoll, Herman

Year:

2014

Language:

english

File:

PDF, 543 KB

english, 2014

9

A New Reiterated Structure with Optimal Macroscopic Behavior

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 584 KB

english, 1999

10

On Two Types of Effective Conductivities

Vasilii V. Jikov, Dag Lukkassen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 204 KB

english, 2001

11

New concepts of homogenization applied in rough surface hydrodynamic lubrication

Andreas Almqvist, Dag Lukkassen, Annette Meidell, Peter Wall

Journal:

International Journal of Engineering Science

Year:

2007

Language:

english

File:

PDF, 863 KB

english, 2007

12

New methods for estimating the torsional rigidity of composite bars

Peter Wall, Dag Lukkassen, Annette Meidell

Journal:

International Journal of Engineering Science

Year:

2009

Language:

english

File:

PDF, 309 KB

english, 2009

13

Analysis of the effects of rough surfaces in compressible thin film flow by homogenization

Dag Lukkassen, Annette Meidell, Peter Wall

Journal:

International Journal of Engineering Science

Year:

2011

Language:

english

File:

PDF, 247 KB

english, 2011

14

Estimating the Vigdergauz constants for regular hexagonal honeycombs

Guy Beeri, Dag Lukkassen, Annette Meidell

Journal:

Composites Part B: Engineering

Year:

2008

Language:

english

File:

PDF, 467 KB

english, 2008

15

Reiterated homogenization of monotone operators

Jacques-Louis Lions, Dag Lukkassen, Lars-Erik Persson, Peter Wall

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 137 KB

french, 2000

16

Reiterated homogenization of non-standard Lagrangians

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 102 KB

french, 2001

17

On stiffness properties of square honeycombs and other unidirectional composites

Stein A. Berggren, Dag Lukkassen, Annette Meidell, Leon Simula

Journal:

Composites Part B: Engineering

Year:

2001

Language:

english

File:

PDF, 214 KB

english, 2001

18

On Some Iterated Means Arising in Homogenization Theory

Dag Lukkassen, Jaak Peetre, Lars-Erik Persson

Journal:

Applications of Mathematics

Year:

2004

Language:

english

File:

PDF, 140 KB

english, 2004

19

Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow

Dag Lukkassen, Annette Meidell, Peter Wall

Journal:

Chinese Annals of Mathematics, Series B

Year:

2011

Language:

english

File:

PDF, 231 KB

english, 2011

20

Some engineering and mathematical aspects on the homogenization method

Dag Lukkassen, Lars-Erik Persson, Peter Wall

Journal:

Composites Engineering

Year:

1995

Language:

english

File:

PDF, 648 KB

english, 1995

21

Application of homogenization theory related to Stokes flow in porous media

Børre Bang, Dag Lukkassen

Journal:

Applications of Mathematics

Year:

1999

Language:

english

File:

PDF, 709 KB

english, 1999

22

Nonlinear laminates where the effective conductivity is integer valued

Dag Lukkassen, Ralph Høibakk, Annette Meidell

Journal:

Applied Mathematics Letters

Year:

2012

Language:

english

File:

PDF, 246 KB

english, 2012

23

Estimates of the Vigdergauz constants for regular triangular honeycombs

Dag Lukkassen, Guy B. Mauseth, Annette Meidell, Klas Pettersson

Journal:

Composites Part B: Engineering

Year:

2012

Language:

english

File:

PDF, 279 KB

english, 2012

24

Twisting a thin periodically perforated elastic rod

Lukkassen, Dag, Meidell, Annette, Piatnitski, Andrey L., Shamaev, Alexey S.

Journal:

Applicable Analysis

Year:

2009

Language:

english

File:

PDF, 661 KB

english, 2009

25

On the Sapondzhyan–Babuška Paradox

Chechkin, Gregory A., Lukkassen, Dag, Meidell, Annette

Journal:

Applicable Analysis

Year:

2008

Language:

english

File:

PDF, 642 KB

english, 2008

26

Effective properties of some new self-similar structures

Lukkassen, Dag, Meidell, Annette

Journal:

Applicable Analysis

Year:

2008

Language:

english

File:

PDF, 242 KB

english, 2008

27

On some sharp bounds for the homogenized p -poisson equation

Lukkassen, Dag, Erik Persson, Lar, Wall, Peter

Journal:

Applicable Analysis

Year:

1995

Language:

english

File:

PDF, 478 KB

english, 1995

28

REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS

BRAIDES, ANDREA, LUKKASSEN, DAG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2000

Language:

english

File:

PDF, 494 KB

english, 2000

29

SYMMETRY-RELATIONS FOR ELASTICALLY DEFORMED PERIODIC ROD-STRUCTURES

LUKKASSEN, DAG, MEIDELL, ANNETTE, PIATNITSKI, ANDREY, SHAMAEV, ALEXEY

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2009

Language:

english

File:

PDF, 765 KB

english, 2009

30

Two-component composites whose effective conductivities are power means of the local conductivities

MEIDELL, ANNETTE, HØIBAKK, RALPH, LUKKASSEN, DAG, BEERI, GUY

Journal:

European Journal of Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 629 KB

english, 2008

31

On Heat Conduction in Domains Containing Noncoaxial Cylinders

Lukkassen, Dag, Meidell, Annette

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

2012

Language:

english

File:

PDF, 299 KB

english, 2012

32

Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

Lukkassen, Dag, Meidell, Annette

Journal:

Journal of Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 482 KB

english, 2012

33

AIP Conference Proceedings [AIP Publishing LLC 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 - Narvik, Norway (15–18 July 2014)] - Some engineering and mathematical aspects in the design of heavy goods railway lines

Lukkassen, Dag, Meidell, Annette

Year:

2014

Language:

english

File:

PDF, 184 KB

english, 2014

34

AIP Conference Proceedings [AIP Publishing LLC 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 - Narvik, Norway (15–18 July 2014)] - On the torsion problem for anisotropic periodic plate structures

Lukkassen, Dag, Meidell, Annette, Seger, Andreas

Year:

2014

Language:

english

File:

PDF, 234 KB

english, 2014

35

AIP Conference Proceedings [AIP Publishing LLC 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 - Narvik, Norway (15–18 July 2014)] - On the role of homogenization in lubrication theory

Lukkassen, Dag, Meidell, Annette, Wall, Peter

Year:

2014

Language:

english

File:

PDF, 152 KB

english, 2014

36

AIP Conference Proceedings [AIP Publishing LLC 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 - Narvik, Norway (15–18 July 2014)] - Beams on nonlinear elastic foundation

Lukkassen, Dag, Meidell, Annette

Year:

2014

Language:

english

File:

PDF, 208 KB

english, 2014

37

Hardy Type Operators In Local Vanishing Morrey Spaces On Fractal Sets

Lukkassen, Dag, Persson, Lars-Erik, Samko, Natasha

Journal:

Fractional Calculus and Applied Analysis

Year:

2015

Language:

english

File:

PDF, 369 KB

english, 2015

38

Some sharp inequalities for integral operators with homogeneous kernel

Lukkassen, Dag, Persson, Lars-Erik, Samko, Stefan G

Journal:

Journal of Inequalities and Applications

Year:

2016

Language:

english

File:

PDF, 1.61 MB

english, 2016

39

On Weak Convergence of Locally Periodic Functions

Lukkassen, Dag, Wall, Peter

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 301 KB

english, 2002

40

A Local-Effective Relation in Planar Linear Elasticity

Lukkassen, Dag, Meidell, Annette, Pettersson, Klas

Journal:

Mechanics of Advanced Materials and Structures

Year:

2016

Language:

english

File:

PDF, 1.40 MB

english, 2016

41

Bounds on the effective behavior of a homogenized generalized Reynolds equation

Lukkassen, Dag, Meidell, Annette, Wall, Peter

Journal:

Journal of Function Spaces and Applications

Year:

2007

Language:

english

File:

PDF, 1.88 MB

english, 2007

42

Mathematical analysis and homogenization of the torsion problem

Lukkassen, Dag, Meidell, Annette, Wall, Peter

Journal:

Journal of Function Spaces and Applications

Year:

2008

Language:

english

File:

PDF, 2.63 MB

english, 2008

43

A New Approach for Estimating the Friction in Thin Film Lubrication

Lukkassen, Dag, Meidell, Annette, Wall, Peter

Journal:

Mathematical Problems in Engineering

Year:

2010

Language:

english

File:

PDF, 2.12 MB

english, 2010

44

Weighted Hardy Operators in Complementary Morrey Spaces

Lukkassen, Dag, Persson, Lars-Erik, Samko, Stefan

Journal:

Journal of Function Spaces and Applications

Year:

2012

Language:

english

File:

PDF, 1.90 MB

english, 2012

45

A new method for numerical solution of checkerboard fields

Berggren, Stein A., Lukkassen, Dag, Meidell, Annette, Simula, Leon

Journal:

Journal of Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 2.83 MB

english, 2001

46

Geometric Construction of Some Lehmer Means

Høibakk, Ralph, Lukkassen, Dag, Meidell, Annette, Persson, Lars-Erik

Journal:

Year:

2018

Language:

english

File:

PDF, 1.34 MB

english, 2018

47

Geometric Construction of Some Lehmer Means

Høibakk, Ralph, Lukkassen, Dag, Meidell, Annette, Persson, Lars-Erik

Journal:

Year:

2018

File:

PDF, 1.34 MB

2018

48

A New Look at the Single Ladder Problem (SLP) via Integer Parametric Solutions to the Corresponding Quartic Equation

HÃ¸ibakk, Ralph, Lukkassen, Dag, Meidell, Annette, Persson, Lars-Erik

Journal:

Year:

2020

File:

PDF, 309 KB

2020

49

Power means with integer values

HÃ¸ibakk, Ralph, Lukkassen, Dag

Journal:

Elemente der Mathematik

Year:

2009

File:

PDF, 120 KB

2009